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Order of operations. In mathematicsand computer programming, the order of operationsis a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression. These rules are formalized with a ranking of the operations. The rank of an operation is called its precedence, and an ...
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
Rifleman's rule. Figure 1: Illustration of the Shooting Scenario. Rifleman's rule is a "rule of thumb" that allows a rifleman to accurately fire a rifle that has been calibrated for horizontal targets at uphill or downhill targets. The rule says that only the horizontal range should be considered when adjusting a sight or performing hold-over ...
In calculus, the trapezoidal rule (also known as the trapezoid rule or trapezium rule) [ a] is a technique for numerical integration, i.e., approximating the definite integral : The trapezoidal rule works by approximating the region under the graph of the function as a trapezoid and calculating its area. It follows that.
Solid. v. t. e. In geometry and trigonometry, a right angle is an angle of exactly 90 degrees or 2 radians [ 1] corresponding to a quarter turn. [ 2] If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles. [ 3] The term is a calque of Latin angulus rectus; here rectus means ...
The method of Frobenius is to seek a power series solution of the form. Differentiating: Substituting the above differentiation into our original ODE: The expression is known as the indicial polynomial, which is quadratic in r. The general definition of the indicial polynomial is the coefficient of the lowest power of z in the infinite series.
Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones ...
A logarithmic spiral, equiangular spiral, or growth spiral is a self-similar spiral curve that often appears in nature. The first to describe a logarithmic spiral was Albrecht Dürer (1525) who called it an "eternal line" ("ewige Linie"). [ 1][ 2] More than a century later, the curve was discussed by Descartes (1638), and later extensively ...